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A more sums than differences (MSTD) set is a finite subset S of the integerssuch that |S+S| > |S-S|. We construct a new dense family of MSTD subsets of {0,1, 2, ..., n-1}. Our construction gives Theta(2^n/n) MSTD sets, improving theprevious best construction with Omega(2^n/n^4) MSTD sets by Miller, Orosz, andScheinerman.

Constructing MSTD Sets Using Bidirectional Ballot Sequences